A radioactive material, such as the isotope thorium-234, disintegrates at a rate proportional to the amount currently present. If Q(t) is the amount present at time t, then dQ/dt = −rQ, where r > 0 is the decay rate. a.If 100 mg of thorium-234 decays to 82.04 mg in 1 week, determine the decay rate r. b.Find an expression for the amount of thorium-234 present at any time t. c.Find the time required for the thorium-234 to decay to one-half its original amount.
A radioactive material, such as the isotope thorium-234, disintegrates at a rate proportional to the amount currently present. If Q(t) is the amount present at time t, then dQ/dt = −rQ, where r > 0 is the decay rate. a.If 100 mg of thorium-234 decays to 82.04 mg in 1 week, determine the decay rate r. b.Find an expression for the amount of thorium-234 present at any time t. c.Find the time required for the thorium-234 to decay to one-half its original amount.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A radioactive material, such as the isotope thorium-234, disintegrates at a rate proportional to the amount currently present. If Q(t) is the amount present at time t, then dQ/dt = −rQ, where r > 0 is the decay rate.
a.If 100 mg of thorium-234 decays to 82.04 mg in 1 week, determine the decay rate r.
b.Find an expression for the amount of thorium-234 present at any time t.
c.Find the time required for the thorium-234 to decay to one-half its original amount.
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